Word Problem Set based on Fractions, Ratio,Interest and Percents -->
Q1)Class B has 50% more students than class A. Number of girls in class A is equal to number of boys in class B. The percentage of girls is the same in both classes. What percentage of the student group are boys?
A. 25 %
B. 33 %
C. 40 %
D. 50 %
E. 60 %
Q2)The Bryant's flower shop situated at the New Plaza complex stocks four types of flowers. There are 1/3 as many violets as carnations, and 1/2 as many tulips as violets. If there are equal no. of roses and tulips, what percent of the flowers in the shop are carnations?
(A) 6.25
(B) 20
(C) 33
(D) 50
(E) 60
Q3)If m = 9/25, w = 15/32, and m + w + c = 1, which of the following gives the values of m, w, and c in increasing order?
A. c, m, w
B. c, w, m
C. m, w, c
D. w, c, m
E. w, m, c
Q4)XYZ Corporation has a ratio of 1 : 6 female to male. If the average salary for the female employees is $217,800 and XYZ pays $2,395,800 in salary to female employees, how many men work at XYZ Corporation?
A. 77
B. 66
C. 55
D. 24
E. 11
Q5)Two libraries are planning to combine a portion of their collections in one new space. One third of the books from Library A will be housed in the new space along with One fourth of the books from Library B. If there are twice as man books in Library B as in Library A, what proportion of the books in the new space will have come from Library A?
A)1/3
B)2/5
C)1/2
D)3/5
E)7/12
Q6)Question 7) Lisa spends 3/8th of her salary on rent and 5/12 on food. Her roommate, Carrie earns about twice as much as Lisa, spends 1/4th of her salary on the rent and 1/2 on food. If the two women decide to contribute the rest of their salary to charity every month, what fraction of their combined monthly income will they donate.
No options for this one, just tell me the fraction value
Q7)Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session. When the readout indicated 24 min 18 sec, she had completed 10% of her exercise session. The readout indicated which of the following when she had completed 40% of her exercise session?
A. 10 min 48 sec
B. 14 min 52 sec
C. 14 min 58 sec
D. 16 min 6 sec
E. 16 min 12 sec
Q8)Question 8) A restaurant spends one quarter of its monthly budget for rent and half of the rest for food and beverages. What percentage of the budget does the restaurant spend for food and beverages?
A. 23.5%
B. 32.5%
C. 35%
D. 37.5%
E. 75%
Q9)What is the greatest value of n such that 30!/6^n is an integer?
A. 11
B. 12
C. 13
D. 14
E. 15
Q10)The ratio of a to b is 4 to 5, where a and b are positive. If x equals a increased by 25 percent of a, and m equals b decreased by 20 percent of b, what is the value of m/x?
A. 2/5
B. 3/4
C. 4/5
D. 5/4
E. 3/2
Q11)Ratio of two numbers x and y is 3:5. If x is increased by 20% and y is increased by 8 then the new ratio becomes 2:5. what is the ratio 2y:(x+6)
A. 2:5
B. 3:5
C. 4:5
D. 5:3
E. 10:3
Q12)What is the greatest value of integer n such that 4^n is a factor of 26! ?
A. 6
B. 9
C. 10
D. 11
E. 12
Q13)Each month, after Jill pays for rent, utilities, food, and other necessary expenses, she has one fifth of her net monthly salary left as discretionary income. Of this discretionary income, she puts 30% into a vacation fund, 20% into savings, and spends 35% on eating out and socializing. This leaves her with $96 dollar, which she typically uses for gifts and charitable causes. What is Jillās net monthly salary?
(A) $2400
(B) $3200
(C) $6000
(D) $6400
(E) $960
Q14)At a speed of 50 miles per hour, a certain car uses 1 gallon of gasoline every 30 miles. If the car starts with a full 12 gallon tank of gasoline and travels for 5 hours at 50 miles per hour, the amount of gasoline used would be what fraction of a full tank?
A. 3/25
B. 11/36
C. 7/12
D. 2/3
E. 25/36
Q15)At a loading dock, each worker on the night crew loaded 3/4 as many boxes as each worker on the day crew. If the night crew has 4/5 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load?
(A) 1/2
(B) 2/5
(C) 3/5
(D) 4/5
(E) 5/8
Q16)At a certain school, the ratio of the number of second graders to the number of fourth graders is 8 to 5, and the ratio of the number of first graders to the number of second graders is 3 to 4. If the ratio of the number of third graders to the number of fourth graders is 3 to 2, what is the ratio of the number of first graders to the number of third graders?
A. 16 to 15
B. 9 to 5
C. 5 to 16
D. 5 to 4
E. 4 to 5
Q17)If the ratio of the present age of Anna and Paula is 1 : 2, what could be the ratio of their respective ages 8 years ago??
a. 3 : 8
b. 4 : 7
c. 3 : 5
d. 2 : 3
e. 4 : 5
Q18)Initially, the men and women in a room were in the ratio of 4 : 5. Then, 2 men entered the room and 3 women left the room. Then, the number of women doubled. Now there are 14 men in the room. How many women are currently in the room?
A. 12
B. 14
C. 15
D. 24
E. 36
Q19)A feed store sells two varieties of birdseed: Brand A, which is 40% millet and 60% sunflower, and Brand B, which is 65% millet and 35% safflower. If a customer purchases a mix of the two types of birdseed that is 50% millet, what percent of the mix is Brand A?
A) 40%
B) 45%
C) 50 %
D) 60 %
E) 55 %
Q20)Kumail, a noted sneaker enthusiast, has a collection consisting of sneakers made by Brand A and Brand B. 5/7 of the Brand A sneakers are low-tops, and 1/3 of the Brand A low-tops are running shoes. If Kumail owns 7 more pairs of Brand B sneakers than Brand A sneakers, what is the minimum possible number of pairs of sneakers in his collection?
A. 21
B. 28
C. 36
D. 40
E. 49
Q21)If x dollars is invested at 10 percent for one year and y dollars is invested at 8 percent for one year, the annual income from the 10 percent investment will exceed the annual income from the 8 percent investment by $56. If $2,000 is the total amount invested, how much is invested at 8 percent?
a. $280
b. $800
c. $892
d. $1108
e. $1200
Q22) Last year Elaine spent 20% of her annual earnings on rent. This year she earned 15% more than last year and she spent 30% of
her annual earnings on rent. The amount she spent on rent thisyear is what percent of the amount spent on rent last year?
(A) 152.5
(B) 164.5
(C) 167.5
(D) 172.5
(E) 177.5
Q23)On the first of the year, James invested x dollars at Proudstar bank in an account that yields 2% in interest every quarter year. At the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. If James had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for James to have y dollars at the end of the year?
A. 2.04%
B. 6.12%
C. 8%
D. 8.25%
E. 10%
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